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Finding the Third Proportional to 77,628.25 and 158,111

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Solution

The third proportional to 77,628.25 and 158,111 is: 322,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,628.25 : 158,111 = 158,111 : x
  2. Step 2: Convert to fraction form
    77,628.25/158,111 = 158,111/x
  3. Step 3: Cross multiply
    77,628.25x = 158,111 × 158,111
  4. Step 4: Simplify right side
    77,628.25x = 24,999,088,321
  5. Step 5: Solve for x
    x = 24,999,088,321/77,628.25
  6. Step 6: Final answer
    x = 322,035.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.